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Finding the Fourth Proportional to 12,357.38, 17,053.08 and 6,768.38

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Solution

The fourth proportional to 12,357.38, 17,053.08 and 6,768.38 is: 9,340.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.38 : 17,053.08 = 6,768.38 : x
  2. Step 2: Convert to fraction form
    12,357.38/17,053.08 = 6,768.38/x
  3. Step 3: Cross multiply
    12,357.38x = 17,053.08 × 6,768.38
  4. Step 4: Simplify right side
    12,357.38x = 115,421,725.61
  5. Step 5: Solve for x
    x = 115,421,725.61/12,357.38
  6. Step 6: Final answer
    x = 9,340.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.